Equivalent characterizations of hyperbolic H "older potential for\n interval maps

2013/07/04 by Huaibin Li, Li, Huaibin
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1307.1297

openalex publication_date 2013/07/04 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

Consider a topologically exact C³ interval map without non-flat critical\npoints. Following the works we did in citeLiRiv12two, we give two equivalent\ncharacterizations of hyperbolic H "older continuous potential in terms of the\nLyapunov exponents and the measure-theoretic entropies of equilibrium states\nfor those potentials.\n

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